Analytical parametric study of bi-linear hysteretic model of dry friction under harmonic, impulse and random excitations

Kashani, Hamed Faghihi

doi:10.1007/s11071-017-3452-y

Cited by 19 publications

(3 citation statements)

References 22 publications

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“…Analytical approach is considered for fundamental study of joint capability for suppressing destructive loads. This approach utilizes Jenkins element for friction modeling in joint [3,4]. Energy balance method and time domain response are the means of study.…”

Section: Joints As An Energy Dissipator For Impulsive Loadsmentioning

confidence: 99%

Impulsive Load Destructive Effects Reduction in Launch Vehicles Using Structural Joint

Kashani

2023

JSST

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Aerospace systems and subsystems are subjected to impulsive loads due to several reasons like engine start and burnout, separation and so on. These loads may make temporary or permanent failures in some sensitive components or subsystems. To avoid these failures some constraints should be consider in design mechanical process. Another approach can be reducing the load level in transmission path without any change in the source of load and without adding any new component and only with design optimization of available components i.e., structural joints destructive effects of impulsive loads. This paper uses analytical results of joints behavior to present practical solution for minimizing load transmission through the joint.

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Section: Joints As An Energy Dissipator For Impulsive Loadsmentioning

confidence: 99%

Impulsive Load Destructive Effects Reduction in Launch Vehicles Using Structural Joint

Kashani

2023

JSST

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“…For exploring the nonlinear mechanical properties of bolted joints, early on, linear viscous damping models were used to explain hysteresis phenomena in the joint [4].S. Sitzmann et al [5] proposed an algorithm for solving quasi-static, nonlinear elastic contact problems with friction in rough surface environments to simulate the transition from stick-slip to sliding.The Jenkins element, which serves as the basic bolted joint modeling unit [6][7], consists of a spring in series and a Coulomb friction slider.The stick-slip phase of the Jenkins element is described by the yield displacement of the Coulomb slider and the velocity of the structure.The Iwan model is commonly used to characterize the energy dissipation and stiffness properties of connected structures. Based on the contact pressure distribution of parallel Jenkins elements, Iwan models with a uniform distribution function [8] and with a power-law distribution function [9] were proposed, respectively.…”

Section: Introductionmentioning

confidence: 99%

Analysis of bolt bonding surfaces by the finite element method based on the equivalent Iwan model

Sun,

2024

Preprint

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Aiming at the force-displacement relationship and its energy dissipation of the bolted bonding surface under the action of small-amplitude tangential displacement, a finite element model with the Iwan model is established and used to investigate the stiffness and energy dissipation phenomena of the bolted bonding surface. First, the force-displacement relationship of the Iwan model is converted into stress-strain relationship through the hybrid hardened intrinsic model, and the subroutine based on UMAT and UHARD realizes the elastic-plastic change of the Iwan model during the contact of the bonding surface in the finite-element model of the stress-strain representation; then, the three-dimensional modeling and the joint simulation of the subroutine are carried out by using the ABAQUS finite-element software; finally, through the experimental data, the validity is verified, and the effects of multiple factors on the bolt bonding surface are analyzed. Finally, the validity is verified by experimental data to analyze the influence of multiple factors on the force-displacement relationship of the bolt bonding surface, and the polynomial function of the loading and unloading curves is established by using the interpolation fitting method to explore the energy dissipation phenomenon of the bolt bonding surface. The results show that the finite element method can accurately reflect the hysteresis and energy dissipation phenomenon of the force-displacement relationship of the bonding surface, and has the ability to investigate the relevant influencing factors. Through this study, it provides a basis for the study of the finite element method of the bolt bonding surface.

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“…On the other hand, many approximate methods have been proposed for predicting the response of the hysteretic system exposed to random excitations. They are the methods of equivalent linearization [7][8][9][10][11], explicit time-domain method [12], probability density evolution method [13][14], Gaussian closure technique [15], exponential-polynomial closure (EPC) method [16][17], dissipation energy balancing method [18], stochastic averaging [19][20][21][22][23][24][25][26], deep neural networks [27], Monte Carlo simulation [28], etc. Among methods mentioned above, the stochastic averaging method has the remarkable advantages in simplifying the equation of motion while retaining the main nonlinear behavior of system [29].…”

Section: Introductionmentioning

confidence: 99%

Stationary Response of Flag-shaped Hysteretic System under Combined Harmonic and White Noise Excitations

Chen¹,

Hu²,

Ye³

2021

Preprint

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The dynamical system containing flag-shaped hysteretic behavior is common in practice. In this paper, the stationary response of flag-shaped hysteretic system excited by harmonic excitation as well as Gaussian white noise is determined with the technique of stochastic averaging. The reliability of the presented approach is demonstrated by relevant digital simulation. The stochastic jump under a certain combination of parameters is found. The stochastic P-bifurcation phenomenon, i.e., the disappearance or appearance of bimodal shape of stationary response, occurs concerning to the variation of system’s parameters. Besides, the response of the system exposed to only harmonic excitation or non-resonance case is also examined for comparison, respectively. The numerical results show that the stationary amplitude response displays typical “soft” system behavior, and the deterministic jump may occur under pure harmonic excitation. Moreover, the non-resonance response is always weaker than that of resonant case.

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Analytical parametric study of bi-linear hysteretic model of dry friction under harmonic, impulse and random excitations

Cited by 19 publications

References 22 publications

Impulsive Load Destructive Effects Reduction in Launch Vehicles Using Structural Joint

Impulsive Load Destructive Effects Reduction in Launch Vehicles Using Structural Joint

Analysis of bolt bonding surfaces by the finite element method based on the equivalent Iwan model

Stationary Response of Flag-shaped Hysteretic System under Combined Harmonic and White Noise Excitations

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